Simplifying exponents

In this article we will learn how to simplify exponents.

Simplifying rational exponents

The base b raised to the power of n/m is equal to:

bn/m = (m√b)n = m√(bn)

For example:

23/2 = 2√(23) = 2.828

Simplifying fractions with exponents

Fractions with exponents:

(a / b)n = an / bn

For example:

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(4/3)3 = 4/ 33 = 64 / 27 = 2.37

Simplifying negative exponents

The base b raised to the power of minus n is equal to 1 divided by the base b raised to the power of n:

b-n = 1 / bn

For example:

2-3 = 1/23 = 1/(2⋅2⋅2) = 1/8 = 0.125

Simplifying radicals with exponents

For radical with exponent:

(m√a)n = an/m

For example:

(√5)4 = 54/2 = 52 = 25

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